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152413289344 = 271319089533
BaseRepresentation
bin1000110111110010001…
…0100011101110000000
3112120101221111022111101
42031330202203232000
54444120300224334
6154003453424144
714003641404151
oct2157442435600
9476357438441
10152413289344
1159702368158
1225656a9b054
13114ac53bc14
14753c0ad928
153e708cd214
hex237c8a3b80

152413289344 has 32 divisors (see below), whose sum is σ = 305953714440. Its totient is φ = 75624906240.

The previous prime is 152413289333. The next prime is 152413289359. The reversal of 152413289344 is 443982314251.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 152413289294 and 152413289303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4527999 + ... + 4561534.

Almost surely, 2152413289344 is an apocalyptic number.

It is an amenable number.

152413289344 is an abundant number, since it is smaller than the sum of its proper divisors (153540425096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152413289344 is an equidigital number, since it uses as much as digits as its factorization.

152413289344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9089678 (or 9089666 counting only the distinct ones).

The product of its digits is 829440, while the sum is 46.

The spelling of 152413289344 in words is "one hundred fifty-two billion, four hundred thirteen million, two hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1048 2096 4192 8384 16768 9089533 18179066 36358132 72716264 145432528 290865056 581730112 1163460224 1190728823 2381457646 4762915292 9525830584 19051661168 38103322336 76206644672 152413289344